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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2016, Volume 57, Issue 3, Pages 186–195
DOI: https://doi.org/10.15372/PMTF20160319 (Mi pmtf847) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Flexural-gravitational circumferential and radial vibrations of a plate floating on shallow water

V. O. Shemelina

Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (393 kB) Citations (1)
DOI: https://doi.org/10.15372/PMTF20160319
Abstract: Numerical and analytical studies of the natural and quasi-natural flexural-gravitational vibrations of an elastic plate floating on a liquid surface are performed based on shallow-water long-wave theory. Dependences of natural and quasi-natural frequencies on the geometrical parameters of the vibration region are studied for the cases of bounded and unbounded reservoirs. The effect of bottom irregularities in the form of a circular cylinder or a circular truncated cone on the natural and quasi-natural frequencies and functions is studied.
Keywords: flexural-gravitational vibrations, natural vibrations, hydroelasticity, shallow water, circular plate.
Received: 16.05.2014
Revised: 06.04.2015
English version:
Journal of Applied Mechanics and Technical Physics, 2016, Volume 57, Issue 3, Pages 550–558
DOI: https://doi.org/10.1134/S0021894416030196
Bibliographic databases:
Document Type: Article
UDC: (539.3 + 532.5):629.12
Language: Russian
Citation: V. O. Shemelina, “Flexural-gravitational circumferential and radial vibrations of a plate floating on shallow water”, Prikl. Mekh. Tekh. Fiz., 57:3 (2016), 186–195; J. Appl. Mech. Tech. Phys., 57:3 (2016), 550–558
Citation in format AMSBIB
\Bibitem{She16}
\by V.~O.~Shemelina
\paper Flexural-gravitational circumferential and radial vibrations of a plate floating on shallow water
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2016
\vol 57
\issue 3
\pages 186--195
\mathnet{http://mi.mathnet.ru/pmtf847}
\crossref{https://doi.org/10.15372/PMTF20160319}
\elib{https://elibrary.ru/item.asp?id=26153169}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2016
\vol 57
\issue 3
\pages 550--558
\crossref{https://doi.org/10.1134/S0021894416030196}
Linking options:
  • https://www.mathnet.ru/eng/pmtf847
  • https://www.mathnet.ru/eng/pmtf/v57/i3/p186
    • This publication is cited in the following 1 articles:
    1. Mohamed Farhat, Sebastien Guenneau, Pai-Yen Chen, Ying Wu, “Spacetime modulation in floating thin elastic plates”, Phys. Rev. B, 104:1 (2021)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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